[Zar]

luck is always a random factor. However with poker you give yourself a probability chance against a random set of luck.

50/50 shot give you a 1/2 chance of winning if you dealt over an infinite amount of times.

If you draw someone in with however say, an 80/20 draw, it would mean that if you played an infinite amount of times your winnings would converge to 80% while theirs to 20%.

The skill element is the setting up of those odds. Agreed 20% of the time i might get unlucky, but 80% of the time i won't.

If there was no skilled involved every draw would give you a 50% chance to win (assuming heads up). Through skill you aim to manipulate the game into improving your own perceived odds against the other player, and thus assume that in the long run if you are more skilled the other player, luck will converge towards 50% while the skill element will end up converging towards that 80% draw you went in with in the first place. The skill gives you that added bonus over luck.